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Finding the Third Proportional to 259,844 and 561,136

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Solution

The third proportional to 259,844 and 561,136 is: 1,211,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,844 : 561,136 = 561,136 : x
  2. Step 2: Convert to fraction form
    259,844/561,136 = 561,136/x
  3. Step 3: Cross multiply
    259,844x = 561,136 × 561,136
  4. Step 4: Simplify right side
    259,844x = 314,873,610,496
  5. Step 5: Solve for x
    x = 314,873,610,496/259,844
  6. Step 6: Final answer
    x = 1,211,779.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.